Home / 1,296.25-1,944.37-322.35

Finding the Fourth Proportional to 1,296.25, 1,944.37 and 322.35

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Solution

The fourth proportional to 1,296.25, 1,944.37 and 322.35 is: 483.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.25 : 1,944.37 = 322.35 : x
  2. Step 2: Convert to fraction form
    1,296.25/1,944.37 = 322.35/x
  3. Step 3: Cross multiply
    1,296.25x = 1,944.37 × 322.35
  4. Step 4: Simplify right side
    1,296.25x = 626,768.88
  5. Step 5: Solve for x
    x = 626,768.88/1,296.25
  6. Step 6: Final answer
    x = 483.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.